Solve (150^2)left(sin(40)right)^2/2

$$\frac{ ( { 150 }^{ 2 } ) { \left( \sin ( 40 ) \right) }^{ 2 } }{ 2 }$$

Evaluate

$$4648.2290006235164070120406175005125$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{({(150)} ^ {2})} 0.6427876096865393 ^ {2}}{2}$$

Calculate 150 to the power of 2 and get 22500.

$$\frac{22500\times 0.6427876096865393^{2}}{2}$$

Calculate 0.6427876096865393 to the power of 2 and get 0.41317591116653479173440361044449.

$$\frac{22500\times 0.41317591116653479173440361044449}{2}$$

Multiply 22500 and 0.41317591116653479173440361044449 to get 9296.458001247032814024081235001025.

$$\frac{9296.458001247032814024081235001025}{2}$$

Expand \frac{9296.458001247032814024081235001025}{2} by multiplying both numerator and the denominator by 1000000000000000000000000000000.

$$\frac{9296458001247032814024081235001025}{2000000000000000000000000000000}$$

Reduce the fraction \frac{9296458001247032814024081235001025}{2000000000000000000000000000000} to lowest terms by extracting and canceling out 25.

$$\frac{371858320049881312560963249400041}{80000000000000000000000000000}$$